Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals

Author:

Shatyrko Andrei,Diblík Josef,Khusainov Denys,Růžičková Miroslava

Abstract

Abstract The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities and are obtained by the direct Lyapunov method. MSC:34H15, 34K20, 93C10, 93D05.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference13 articles.

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2. Lur’e AI: Some Problems in the Theory of Automatic Control. H.M. Stationary Office, London; 1957.

3. Liao X, Yu P Series Mathematical Modelling: Theory and Applications 25. In Absolute Stability of Nonlinear Control Systems. 2nd edition. Springer, New York; 2008.

4. Liao X, Wang L, Yu P Monograph Series on Nonlinear Science and Complexity. In Stability of Dynamical Systems. Elsevier, Amsterdam; 2007.

5. Růžičková M, Khusainov DY, Kuzmych O: The estimation of the dynamics of indirect control switching systems. Tatra Mt. Math. Publ. 2011, 48: 197–213.

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